Equilibrium Constant at Temperature T2 Solution

STEP 0: Pre-Calculation Summary
Formula Used
Equilibrium constant 2 = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute temperature 2))
K2 = (Af/Ab)*exp((Eab-Eaf)/([R]*T2))
This formula uses 1 Constants, 1 Functions, 6 Variables
Constants Used
[R] - Universal gas constant Value Taken As 8.31446261815324
Functions Used
exp - n an exponential function, the value of the function changes by a constant factor for every unit change in the independent variable., exp(Number)
Variables Used
Equilibrium constant 2 - Equilibrium constant 2 is the value of its reaction quotient at chemical equilibrium, at absolute temperature T2.
Forward Pre-exponential Factor - (Measured in 1 per Second) - Forward Pre-exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for forward reaction.
Backward Pre-exponential factor - (Measured in 1 per Second) - Backward Pre-exponential factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for backward reaction.
Activation Energy Backward - (Measured in Joule) - Activation Energy Backward is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation for a backward reaction.
Activation Energy Forward - (Measured in Joule) - Activation Energy Forward is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation in a forward reaction.
Absolute temperature 2 - (Measured in Kelvin) - Absolute temperature 2 is the temperature of an object on a scale where 0 is taken as absolute zero.
STEP 1: Convert Input(s) to Base Unit
Forward Pre-exponential Factor: 100 1 per Second --> 100 1 per Second No Conversion Required
Backward Pre-exponential factor: 10 1 per Second --> 10 1 per Second No Conversion Required
Activation Energy Backward: 250 Electron-Volt --> 4.00544332500002E-17 Joule (Check conversion ​here)
Activation Energy Forward: 150 Electron-Volt --> 2.40326599500001E-17 Joule (Check conversion ​here)
Absolute temperature 2: 310 Kelvin --> 310 Kelvin No Conversion Required
STEP 2: Evaluate Formula
Substituting Input Values in Formula
K2 = (Af/Ab)*exp((Eab-Eaf)/([R]*T2)) --> (100/10)*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*310))
Evaluating ... ...
K2 = 10
STEP 3: Convert Result to Output's Unit
10 --> No Conversion Required
FINAL ANSWER
10 <-- Equilibrium constant 2
(Calculation completed in 00.020 seconds)

Credits

Creator Image
Created by Akshada Kulkarni
National Institute of Information Technology (NIIT), Neemrana
Akshada Kulkarni has created this Calculator and 500+ more calculators!
Verifier Image
Verified by Pragati Jaju
College Of Engineering (COEP), Pune
Pragati Jaju has verified this Calculator and 300+ more calculators!

Arrhenius Equation Calculators

Pre-exponential Factor in Arrhenius Equation for Forward Reaction
​ LaTeX ​ Go Forward Pre-exponential Factor = Forward reaction rate constant/exp(-(Activation Energy Forward/([R]*Absolute Temperature)))
Arrhenius Equation for Forward Reaction
​ LaTeX ​ Go Forward reaction rate constant = Forward Pre-exponential Factor*exp(-(Activation Energy Forward/([R]*Absolute Temperature)))
Arrhenius Equation
​ LaTeX ​ Go Rate Constant = Pre-Exponential Factor*(exp(-(Activation Energy/([R]*Absolute Temperature))))
Pre-exponential Factor in Arrhenius Equation
​ LaTeX ​ Go Pre-Exponential Factor = Rate Constant/exp(-(Activation Energy/([R]*Absolute Temperature)))

Equilibrium Constant at Temperature T2 Formula

​LaTeX ​Go
Equilibrium constant 2 = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute temperature 2))
K2 = (Af/Ab)*exp((Eab-Eaf)/([R]*T2))

What is Arrhenius Equation?

The Arrhenius equation is a formula for the temperature dependence of reaction rates. The equation was proposed by Svante Arrhenius in 1889, based on the work of Dutch chemist Jacobus Henricus van 't Hoff who had noted in 1884 that the van 't Hoff equation for the temperature dependence of equilibrium constants suggests such a formula for the rates of both forward and reverse reactions. This equation has a vast and important application in determining rate of chemical reactions and for calculation of energy of activation.

How to Calculate Equilibrium Constant at Temperature T2?

Equilibrium Constant at Temperature T2 calculator uses Equilibrium constant 2 = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute temperature 2)) to calculate the Equilibrium constant 2, The Equilibrium constant at temperature T2 formula is defined as the value of its reaction quotient at chemical equilibrium at an absolute temperature, T2 in terms of the Arrhenius equation. Equilibrium constant 2 is denoted by K2 symbol.

How to calculate Equilibrium Constant at Temperature T2 using this online calculator? To use this online calculator for Equilibrium Constant at Temperature T2, enter Forward Pre-exponential Factor (Af), Backward Pre-exponential factor (Ab), Activation Energy Backward (Eab), Activation Energy Forward (Eaf) & Absolute temperature 2 (T2) and hit the calculate button. Here is how the Equilibrium Constant at Temperature T2 calculation can be explained with given input values -> 10 = (100/10)*exp((4.00544332500002E-17-2.40326599500001E-17)/([R]*310)).

FAQ

What is Equilibrium Constant at Temperature T2?
The Equilibrium constant at temperature T2 formula is defined as the value of its reaction quotient at chemical equilibrium at an absolute temperature, T2 in terms of the Arrhenius equation and is represented as K2 = (Af/Ab)*exp((Eab-Eaf)/([R]*T2)) or Equilibrium constant 2 = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute temperature 2)). Forward Pre-exponential Factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for forward reaction, Backward Pre-exponential factor is the pre-exponential constant in the Arrhenius equation, an empirical relationship between temperature and rate coefficient for backward reaction, Activation Energy Backward is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation for a backward reaction, Activation Energy Forward is the minimum amount of energy that is required to activate atoms or molecules to a condition in which they can undergo a chemical transformation in a forward reaction & Absolute temperature 2 is the temperature of an object on a scale where 0 is taken as absolute zero.
How to calculate Equilibrium Constant at Temperature T2?
The Equilibrium constant at temperature T2 formula is defined as the value of its reaction quotient at chemical equilibrium at an absolute temperature, T2 in terms of the Arrhenius equation is calculated using Equilibrium constant 2 = (Forward Pre-exponential Factor/Backward Pre-exponential factor)*exp((Activation Energy Backward-Activation Energy Forward)/([R]*Absolute temperature 2)). To calculate Equilibrium Constant at Temperature T2, you need Forward Pre-exponential Factor (Af), Backward Pre-exponential factor (Ab), Activation Energy Backward (Eab), Activation Energy Forward (Eaf) & Absolute temperature 2 (T2). With our tool, you need to enter the respective value for Forward Pre-exponential Factor, Backward Pre-exponential factor, Activation Energy Backward, Activation Energy Forward & Absolute temperature 2 and hit the calculate button. You can also select the units (if any) for Input(s) and the Output as well.
How many ways are there to calculate Equilibrium constant 2?
In this formula, Equilibrium constant 2 uses Forward Pre-exponential Factor, Backward Pre-exponential factor, Activation Energy Backward, Activation Energy Forward & Absolute temperature 2. We can use 2 other way(s) to calculate the same, which is/are as follows -
  • Equilibrium constant 2 = Equilibrium constant 1*exp(((Activation Energy Backward-Activation Energy Forward)/[R])*((1/Absolute temperature 2)-(1/Absolute Temperature)))
  • Equilibrium constant 2 = Equilibrium constant 1*exp((-(Enthalpy of Reaction/[R]))*((1/Absolute temperature 2)-(1/Absolute Temperature)))
Let Others Know
Facebook
Twitter
Reddit
LinkedIn
Email
WhatsApp
Copied!